{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import linear_model\n",
    "from sklearn.metrics import classification_report \n",
    "from sklearn.datasets import make_gaussian_quantiles\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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g0aJFV7UVEdZs2EAjt5tj+HKZB7tcLFmyJEfXsmPrVuKcTioCjwNFgTQR+ng8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K3SoU0bsZtMUtZul2qVKuValCzduxMmSHmrVXqC3BsYKOVLl5bz589f1+aDyZOllMUiTUBqGI1S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\nTdOKAZ3MNU3TigGdzDVN04qB/w+9HE3hSsY0BwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2646b529ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_data,y_data = make_gaussian_quantiles(n_samples = 500,n_features = 2,n_classes =2)\n",
    "plt.scatter(x_data[:,0],x_data[:,1],c=y_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
       "          penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
       "          verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logistic = linear_model.LogisticRegression()\n",
    "logistic.fit(x_data,y_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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LdSh4vA4FVc9E38Gdt89n1VDcsb3nnpKbO6eTvB3sfTDIouINTyuOmmymNR5J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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2646c21cac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "score: 0.548\n",
      "             precision    recall  f1-score   support\n",
      "\n",
      "          0       0.55      0.55      0.55       250\n",
      "          1       0.55      0.55      0.55       250\n",
      "\n",
      "avg / total       0.55      0.55      0.55       500\n",
      "\n"
     ]
    }
   ],
   "source": [
    "x_min,x_max = x_data[:,0].min() -1,x_data[:,0].max()+1\n",
    "y_min,y_max = x_data[:,1].min() -1,x_data[:,1].max()+1\n",
    "\n",
    "#生成网格矩阵\n",
    "xx,yy = np.meshgrid(np.arange(x_min,x_max,0.02),np.arange(y_min,y_max,0.02))\n",
    "\n",
    "z = logistic.predict(np.c_[xx.ravel(),yy.ravel()])       \n",
    "z = z.reshape(xx.shape)\n",
    "#画等高线图\n",
    "cs = plt.contourf(xx,yy,z)\n",
    "plt.scatter(x_data[:,0],x_data[:,1],c=y_data)\n",
    "plt.show()\n",
    "\n",
    "print('score:',logistic.score(x_data,y_data))\n",
    "predictions = logistic.predict(x_data)\n",
    "\n",
    "print(classification_report(y_data,predictions))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DPuejRJIdNUtnHBMe3wjb346mag+MZ0zC72yTcDU2pWXEPRfbN8wMxzgNfws/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\n5I3g9QPR1gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2646c21ceb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "score: 0.982\n",
      "             precision    recall  f1-score   support\n",
      "\n",
      "          0       0.97      1.00      0.98       250\n",
      "          1       1.00      0.97      0.98       250\n",
      "\n",
      "avg / total       0.98      0.98      0.98       500\n",
      "\n"
     ]
    }
   ],
   "source": [
    "#定义多项式回归，degree的值可以调节多项式的特征\n",
    "poly_reg = PolynomialFeatures(degree = 5) \n",
    "#特征处理\n",
    "x_poly = poly_reg.fit_transform(x_data)  #degree = 3   x_poly  =  x^0  x^1  x^2  x^3\n",
    "logistic = linear_model.LogisticRegression()\n",
    "logistic.fit(x_poly,y_data)\n",
    "\n",
    "x_min,x_max = x_data[:,0].min() -1,x_data[:,0].max()+1\n",
    "y_min,y_max = x_data[:,1].min() -1,x_data[:,1].max()+1\n",
    "\n",
    "#生成网格矩阵\n",
    "xx,yy = np.meshgrid(np.arange(x_min,x_max,0.02),np.arange(y_min,y_max,0.02))\n",
    "\n",
    "z = logistic.predict(poly_reg.fit_transform(np.c_[xx.ravel(), yy.ravel()]))     \n",
    "z = z.reshape(xx.shape)\n",
    "#画等高线图\n",
    "cs = plt.contourf(xx,yy,z)\n",
    "plt.scatter(x_data[:,0],x_data[:,1],c=y_data)\n",
    "plt.show()\n",
    "print('score:',logistic.score(x_poly,y_data))\n",
    "predictions = logistic.predict(x_poly)\n",
    "\n",
    "print(classification_report(y_data,predictions))\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "             precision    recall  f1-score   support\n",
      "\n",
      "          0       0.97      1.00      0.98       250\n",
      "          1       1.00      0.97      0.98       250\n",
      "\n",
      "avg / total       0.98      0.98      0.98       500\n",
      "\n"
     ]
    }
   ],
   "source": [
    "predictions = logistic.predict(x_poly)\n",
    "\n",
    "print(classification_report(y_data,predictions))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [Root]",
   "language": "python",
   "name": "Python [Root]"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
